JNTU
JNTU B.Tech I Year ENGINEERING GRAPHICS Previous Question Paper (May/June - 2019 - R18)
Answer all five questions
All questions carry equal marks
Main
Draw a hyperbola when the distance between its focus and directrix is 50mm and eccentricity is 3/2.
Answer
To draw the hyperbola with eccentricity e = 3/2 and focus-directrix distance (VF) = 50 mm:
- Draw a vertical line as the directrix and a horizontal line as the axis.
- Mark the focus F on the axis at 50 mm from the directrix.
- Locate the vertex V on the axis by dividing the distance VF in the ratio 3:2 (e = 3/2). Since 3+2=5 parts, each part is 10 mm. V is 30 mm from the directrix and 20 mm from F.
- Mark points 1, 2, 3, etc., on the axis beyond the vertex.
- Draw vertical lines through these points.
- With F as center and radius equal to the distance from the point (e.g., 1) to the directrix multiplied by e, draw arcs to cut the vertical line through point 1.
- Repeat for other points to obtain a series of points on the curve. Join these points with a smooth freehand curve to form the hyperbola.
The length of a scale with a RF of 2:3 is 20 cm. Construct this scale and mark a distance of 16.5 cm on it.
Answer
Given RF = 2/3 and length of scale = 20 cm. The maximum length represented by the scale is calculated as:
- Draw a line of 20 cm length to represent the scale.
- Divide this line into 3 equal parts, where each part represents 10 cm.
- Subdivide the first part into 10 equal divisions, each representing 1 cm.
- To mark 16.5 cm, identify the 10 cm mark on the main scale and add 6.5 cm from the subdivided part.
- Measure and mark the distance clearly on the constructed scale.
Construct a diagonal scale of 1 : 32 to read meters, decimeters, and centimeters, and long enough to measure 4 m. Show on this scale a distance of 2.46 m.
Answer
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A wheel of 50 mm diameter rolls without slipping on a straight road surface. Trace the path of the point of contact for one complete revolution of the wheel.
Answer
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A line PQ has its end P, 10 mm above the HP and 20 mm in front of the VP. The end Q is 85 mm in front of the VP. The front view of the line measures 75 mm. The distance between the end projectors is 50 mm. Draw the projections of the line and find its true length.
Answer
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A regular pentagon of 30 mm side, is resting on one of its edges on HP which is inclined at 45º to VP. Its surface is inclined at 30º to HP. Draw its projections.
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Draw the projection of a pentagonal pyramid, whose base edge is 30 mm and axis is 40 mm long. The pyramid is resting on a horizontal plane with one of its base edges inclined at an angle of 30º with VP.
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A cube of 40 mm edges is resting on one of its faces on the HP with a vertical face inclined to 30º to VP. It is cut by a section plane parallel to the VP and passing 15 mm away from the axis., Draw its top view and sectional front view.
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A triangular prism of base side 80 mm and axis 100 mm is resting on its base in the HP with a side of the base parallel to the VP. It is penetrated by another triangular prism of base side 40 mm and axis 100 mm having a face parallel to the HP. The axes of prisms bisect each other at right angles. Draw the projections of the combination, and show the lines of intersection.
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A pentagonal prism of 30 mm base edges and 60 mm long, is resting on its base with an edge of base inclined at 40º to the VP. The prism is cut by a section plane whose V.T. is inclined at 30º to the HP and passes through a point 25 mm from the base along its axis. Develop the lateral surface of the truncated prism.
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Draw the isometric view of the object whose orthographic projections are given in figure 1. All dimensions are in mm.
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Draw the front view, top view, and side view of the object shown in figure 2. All dimensions are in mm.
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